4292490240 has 176 divisors, whose sum is σ = 15255226560. Its totient is φ = 1144627200.

The previous prime is 4292490233. The next prime is 4292490247. The reversal of 4292490240 is 420942924.

4292490240 is a `hidden beast` number, since 42 + 92 + 490 + 2 + 40 = 666.

4292490240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4292490233) and next prime (4292490247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4292490195 and 4292490204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292490247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122715 + ... + 153765.

Almost surely, 2^4292490240 is an apocalyptic number.

4292490240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4292490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627613280).

4292490240 is an abundant number, since it is smaller than the sum of its proper divisors (10962736320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4292490240 is a wasteful number, since it uses less digits than its factorization.

4292490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31085 (or 31061 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4292490240 is about 65517.0988368685. The cubic root of 4292490240 is about 1625.1861233754.

The spelling of 4292490240 in words is "four billion, two hundred ninety-two million, four hundred ninety thousand, two hundred forty".